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Contemporary Mathematics for Busin...

8th Edition
Robert Brechner + 1 other
ISBN: 9781305585447

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Section
BuyFindarrow_forward

Contemporary Mathematics for Busin...

8th Edition
Robert Brechner + 1 other
ISBN: 9781305585447
Textbook Problem

REI (Recreational Equipment Incorporated) sells a 35 -liter backpack for $110 and an 18-liter backpack for $70. If a store sold 40 packs yesterday for a total of $3, 400, how many of each type backpack were sold? What were the dollar sales of each type?

Chapter 5.II, Problem 16TIE, REI (Recreational Equipment Incorporated) sells a 35 -liter backpack for $110 and an 18-liter

To determine

To calculate: The number of each backpack sold and the amount received from the sale of each backpack, if REI (Recreational equipment incorporated) charges $110 for 35-liter backpack and $70 for 18-liter backpack. The store received $3,400 from the sale of 40 packs.

Explanation

Given Information:

REI (Recreational equipment incorporated) charges $110 for 35-liter backpack and $70 for 18-liter backpack. The store received $3,400 from the sale of 40 packs.

Formula used:

To solve the equation and prove the solution, follow the steps as mentioned below.

Step 1: Understand the problem and write the facts of the equation.

Step2: List the known and the unknows from the problem.

Step3: Write the equation with the help of following table of key word,

Equal Sign Addition Subtraction Multiplication Division Parentheses
Is And Less of Divide Times the quantity of
Are Added to Less than Multiply Divided by
Was Totals Smaller than Times Divided into
Equals The sum of Minus Product of Quotient of
Gives Plus Difference Multiplied by Ratio of
Giving More than Decreased by Twice
Leaves Larger than Reduced by Double
Results in Increased by Take away Triple
Produces Greater than Loss of At
yields exceeds Fewer than @

Step4: Solve the equation by rearrange the unknown values to the left side and known values to the right side of the equal sign.

Step5: Prove the solution by substituting the value obtained from step 4 in the equation formed in step 4 then check the left and right of the equation if, they are equal then the answer is correct.

Calculation:

Underline the keyword by using the table of of key word.

The sum of price of each item multiply by its quantity equals total price, $3,400.

Suppose that X be the number of 35-liter backpack sold.

Consider the total backpack sold, 40.

So, the number of 18-liter backpack sold is, 40X.

Consider the charges for 35-liter backpack is $110 and for 18-liter backpack is $70.

Consider the amount received by store from the sale of 40 packs,

110X+70(40X)=$3,400.

Now solve the equation

110X+70(40X)=3,400

Solve the parenthesis and combine the unknowns on left side,

110X+70(40X)=3,400110X+70(40)70(X)=3,400110X+280070X=3,40040X+2800=3,400

Arrange the known values to the right side and unknown to the left side by applying the opposite operation of addition, subtract 2800 from both sides,

40X

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